منابع مشابه
Faster than Hermitian Time Evolution
For any pair of quantum states, an initial state |I〉 and a final quantum state |F 〉, in a Hilbert space, there are many Hamiltonians H under which |I〉 evolves into |F 〉. Let us impose the constraint that the difference between the largest and smallest eigenvalues of H, Emax and Emin, is held fixed. We can then determine the Hamiltonian H that satisfies this constraint and achieves the transform...
متن کاملFaster than Hermitian quantum mechanics.
Given an initial quantum state |psi(I)> and a final quantum state |psi(F)>, there exist Hamiltonians H under which |psi(I)> evolves into |psi(F)>. Consider the following quantum brachistochrone problem: subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time tau? For Hermitian Hamiltoni...
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We provide time-evolution operators, gauge transformations and a perturbative treatment for non-Hermitian Hamiltonian systems, which are explicitly timedependent. We determine various new equivalence pairs for Hermitian and non-Hermitian Hamiltonians, which are therefore pseudo-Hermitian and in addition in some cases also invariant under PT-symmetry. In particular, for the harmonic oscillator p...
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State-of-the-art emergency navigation approaches are designed to evacuate civilians during a disaster based on real-time decisions using a pre-defined algorithm and live sensory data. Hence, casualties caused by the poor decisions and guidance are only apparent at the end of the evacuation process and cannot then be remedied. Previous research shows that the performance of routing algorithms fo...
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Faster than real time simulation concepts are nowadays applied in multidisciplinary areas. Interaction between the real world and the simulation model is performed in real time, so that information obtained from each system is used to enhance our knowledge of the other. Even if such capabilities prove to be useful for real time applications, dealing with the requirements imposed is only accompl...
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2007
ISSN: 1815-0659
DOI: 10.3842/sigma.2007.126